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Find the sum to n terms of the series 3 × 1^2 + 5 × 2^2 + 7 × 3^2 + …

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Find the sum to n terms of the series 3 × 12 + 5 × 22 + 7 × 32 + …

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The given series is 3 ×12 + 5 × 22 + 7 × 32 + … nth term,

an = ( 2n + 1) n2 = 2n3 + n2  

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